513151266336 has 192 divisors, whose sum is σ = 1474419179520. Its totient is φ = 155567738880.

The previous prime is 513151266281. The next prime is 513151266373. The reversal of 513151266336 is 633662151315.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36368595 + ... + 36382701.

It is an arithmetic number, because the mean of its divisors is an integer number (7679266560).

Almost surely, 2^513151266336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513151266336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737209589760).

513151266336 is an abundant number, since it is smaller than the sum of its proper divisors (961267913184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513151266336 is a wasteful number, since it uses less digits than its factorization.

513151266336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14879 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The spelling of 513151266336 in words is "five hundred thirteen billion, one hundred fifty-one million, two hundred sixty-six thousand, three hundred thirty-six".